Transformations Reflections, and Rotations
|
|
- Rudolf Eustace Lamb
- 6 years ago
- Views:
Transcription
1 Grade level: 9-12 Subject: mathematics Time required: 30 minutes Transformations Reflections, and Rotations by Lynne B. Uebelhoer Activity overview This activity is designed to be used in a middle-school r high-school geometry classroom. An understanding of labeling points in the coordinate plane is necessary. Concepts This is an exploration of the specific transformations: reflections and rotations. Teacher preparation A review of the coordinate plane, quadrants, and labeling points is helpful for labeling the points as well as describing the transformations. To encourage student to describe the transformations observed concrete examples should be introduced. Using a chair with wheels, push the chair away. Ask the students to describe the change which occurred. Ask students what occurs when they look in the mirror each morning. Encourage students to develop descriptions using such terms as flip, turn, and slide. Classroom management tips This activity is student-centered with the teacher role as that of facilitator. Small groups will encourage discussion regarding observations. TI-Nspire Applications TI-Nspire, Graphs & Geometry, Notes Have students open the program file and read page 1.1 Students are directed to draw a polygon on the grid provided on page 1.2. A possible choice is provided here as an example. Once the polygon is drawn the students are asked to label the vertices and record both the label and coordinates on their worksheet. On page 1.4 directions are given for the first transformation. A possible choice is provided here as an example. Once the polygon is drawn the students are asked to label the vertices and record both the label and coordinates on their worksheet. Transformations: Reflections and Rotations 2008 Texas Instruments Incorporated by Lynne B. Uebelhoer Page 1
2 Activity Title Goes Here by: author name goes here Subject: mathematics Time required: 30 minutes Page 1.6 provides students an opportunity to reflect on their observations. Page 1.7 and 1.9 instruct the student to continue reflecting throughout the coordinate plane. With a final stop in Quadrant IV. Page 1.13 Guides student s towards a understanding of terminology presented within the activity. Assessment and evaluation The handout may be collected and evaluated to determine the understanding of concepts presented in this activity. Activity extension A discussion exploring the relationship between a series of reflections and rotation can illustrate the relationship between these two transformations Texas Instruments Incorporated Page 2
3 2008 Texas Instruments Incorporated Page 3
4 In this activity through a series of transformations you will: Find the outcome of reflections across the x- and y- axis. Determine how a rotation may occur through reflections Open the file Transformations: Reflections and Rotations. On page #2 you will find a coordinate grid. Under shapes choose polygon. Draw a polygon with at least three vertices. Label each of the vertices and give the coordinates. Space is provided for up to 6 vertices. Record the vertices as well as the label: A) Follow the directions within the program for moving your polygon across the y-axis. In which vertices use the same letters for the corresponding points adding a to each label.(i.e. A becomes A ) B) Follow the directions within the program for moving your polygon across the x-axis. In which 2008 Texas Instruments Incorporated Page 4
5 vertices use the same letters for the corresponding points adding a to each label.(i.e. A becomes A ) C) Follow the directions within the program for moving your polygon across the y-axis. In which vertices use the same letters for the corresponding points adding a to each label.(i.e. A becomes A ) D) What would occur if you were to complete one more transformation of your polygon? E) 2008 Texas Instruments Incorporated Page 5
TImath.com. Geometry. Reflections and Rotations. Time required 45 minutes ID: 8286
Reflections and Rotations ID: 8286 Time required 45 minutes Activity Overview Students will reflect figures over the x- and y-axes. By studying what happens to the coordinates of the pre-image and image
More informationReflections and Rotations TEACHER NOTES
Math Objectives Rotate and reflect two-dimensional figures in a coordinate plane. Analyze the coordinates of numerous rotated and reflected figures to determine the rules of geometric transformations.
More informationExploring Transformations
Math Objectives Students will identify the coordinates of a shape that has been translated. Students will identify the coordinates of a shape that has been reflected. Students will determine the original
More informationTransformations: Reflections
Math Objectives Students will identify a reflection as an isometry, also called a congruence transformation. Students will identify which properties are preserved in a reflection and which are not. Students
More informationProperties of Isosceles Triangles
Grade level: 9-12 Properties of Isosceles Triangles by Marco A. Gonzalez Activity overview In this activity and by using the Nspire handhelds, students will discover the different properties and attributes
More informationActivity overview. Background. Concepts. Teacher preparation and Classroom management tips. Off on a Tangent
By: Russell Brown Grade level: secondary (Years 10-12) Activity overview Many special properties can be shown to be associated with cubic functions. This activity investigates tangents to the cubic function
More informationAlgebra 1. What s My Rule? ID: 8256
What s My Rule? ID: 8256 By Tom Dick Time required 45 minutes Activity Overview This activity encourages students to gain experience with the language of the Cartesian coordinate system. Each of the problems
More informationReflections (Flips) Geometry. Objective. Common Core State Standards Talk About It. Solve It. More Ideas. Formative Assessment
2 Reflections (Flips) Objective Students can expand their understanding of congruence by studying flips (reflections), turns (rotations), and slides (translations). A reflection flips a figure over a line
More informationBuilding Concepts: Moving from Proportional Relationships to Linear Equations
Lesson Overview In this TI-Nspire lesson, students use previous experience with proportional relationships of the form y = kx to consider relationships of the form y = mx and eventually y = mx + b. Proportional
More informationIntroduction to Transformations. In Geometry
+ Introduction to Transformations In Geometry + What is a transformation? A transformation is a copy of a geometric figure, where the copy holds certain properties. Example: copy/paste a picture on your
More informationExploring Parametric Equations With the Human Cannonball
Grade level: 9-12 Exploring Parametric Equations With the Human Cannonball by Lisa Blank, Math & Science Teacher, Lyme Central School, Chaumont, NY Activity overview Students will explore the use of parametric
More informationTranslations Lesson Bundle
We are excited that you will be using these interactive investigations to assist your students in exploring and learning about Transformational Geometry. They are designed so that students investigate
More informationThe Mailbox MATH NSPIRED. Math Objectives. About the Lesson. TI-Nspire Navigator System. Activity Materials TEACHER NOTES
Math Objectives Students will use volume formulas to solve problems. Students will recognize that the area of a composite shape is the sum of the areas of its smaller parts. Students will determine the
More informationTranslations, Reflections, and Rotations
Translations, Reflections, and Rotations This photo shows a classic optical illusion called the Necker Cube. It's an example of an impossible object. Optical illusions are often helpful to scientists who
More informationTopic: Conics Verify the solution to a linear-quadratic system of equations by graphing and using Intersection Point(s).
Nonlinear Systems of Equations ID: 9982 Time required 45 minutes Activity Overview This activity is designed to be used an as introduction to nonlinear systems of equations. It begins by allowing students
More informationExploring the Equation of a Circle
Math Objectives Students will understand the definition of a circle as a set of all points that are equidistant from a given point. Students will understand that the coordinates of a point on a circle
More informationMove It! TEACHER NOTES. Activity Overview. Topic: Geometry. Teacher Preparation and Notes
Activity Overview In this activity, students investigate transformations, slides and scaling, of a triangle using lists. They will add, subtract and multiply numbers to the list and describe the changes
More informationSum of Exterior Angles of Polygons TEACHER NOTES
Math Objectives Students will determine that the interior angle of a polygon and an exterior angle of a polygon form a linear pair (i.e., the two angles are supplementary). Students will determine that
More informationWe ve Got You Covered: 2D Area
Math Objectives Students will solve real-world and mathematical problems involving area of two-dimensional objects composed of triangles, quadrilaterals, and polygons (CCSS). Students will make sense of
More informationPrecalculus. Wrapping Functions ID: 8257
Wrapping Functions ID: 8257 By Mark Howell Time required 90 minutes Activity Overview This activity introduces students to various functions of a circular angle. They are shown a unit circle and a point
More informationActivity overview. Background. Concepts. Teacher preparation. Technical prerequisites
The impact of b in By Øystein Nordvik Grade level: secondary (Years 9-1) Subject: mathematics Time required: 90 minutes Activity overview In this activity you will examine the influence parameter b has
More informationTImath.com. Geometry. Triangle Inequalities
Triangle Inequalities ID: 9425 TImath.com Time required 30 minutes Topic: Right Triangles & Trigonometric Ratios Derive the Triangle Inequality as a corollary of the Pythagorean Theorem and apply it. Derive
More informationHow Many Solutions 2 TEACHER NOTES
Math Objectives Students will recognize that a system of two equations in two variables can have no solution, one or more solutions, or infinitely many solutions. Students will determine whether a graph
More informationGeometry Unit 4 Note Sheets Date Name of Lesson. Tangrams Activity. Rigid Motions. Translations. Symmetry. Quiz. Reflections.
Date Name of Lesson Tangrams Activity Rigid Motions Translations Symmetry Quiz Reflections Rotations Transformations Poster Activity Transformations Poster Activity Review of Transformations Composition
More informationGrade Level: 6-8 Sunshine State Standard: MA.A.1.3.3, MA.A.3.3.1, MA.B.1.3.2, MA.B.4.3.2, MA.C Time: 45 minutes
Rotations Grade Level: 6-8 Sunshine State Standard: MA.A.1.3.3, MA.A.3.3.1, MA.B.1.3.2, MA.B.4.3.2, MA.C.3.3.2 Time: 45 minutes Materials: Students: Paper, pencil, graph paper, computer with GeoGebra (if
More informationTable of Contents. Introduction to the Math Practice Series...1
Table of Contents Table of Contents Introduction to the Math Practice Series...1 Common Mathematics/Geometry Symbols and Terms...2 Chapter 1: Introduction To Geometry...13 Shapes, Congruence, Similarity,
More informationStandard Form of Quadratic Functions
Math Objectives Students will be able to predict how a specific change in the value of a will affect the shape of the graph of the quadratic ax bx c. Students will be able to predict how a specific change
More informationThe Unit Circle. Math Objectives. Vocabulary continuous function periodic function unit circle. About the Lesson. Related Lessons
Math Objectives Students will describe the relationship between the unit circle and the sine and cosine functions. Students will describe the shape of the sine and cosine curves after unwrapping the unit
More informationCharacteristics of Exponential Functions
Math Objectives Students will identify the characteristics of exponential functions of the form f(x) = b x, where b > 1. Students will identify the characteristics of exponential functions of the form
More informationMidpoint Quadrilaterals
Math Objectives Students will explore the parallelogram formed by the midpoints of any quadrilateral. Students will further explore special outer and inner quadrilaterals formed by the connected midpoints.
More informationConcepts Types of triangles, exterior and interior triangle sums, measuring angles, and paragraph proof.
Properties of Triangles Time required 45 minutes Activity Overview In this activity, students explore different type of triangles and find the interior and exterior angle sum to form a paragraph proof.
More informationSection A Transformations of Graphs Grade A*
Name: Teacher Assessment Section A Grade A*. The diagram shows the graph of = for. 5 5 5 Each of the graphs below is a transformation of this graph. Write down the equation of each graph. 5 (a) 5 (b) 5
More informationGeometry Sixth Grade
Standard 6-4: The student will demonstrate through the mathematical processes an understanding of shape, location, and movement within a coordinate system; similarity, complementary, and supplementary
More informationCoordinate Plane Exchange
Coordinate Plane Exchange July 23 2012 s Telecollaborative Design Idea The Final Challenge Category & Type of Activity Structure Problem Solving Activity Structure Structure 13 Peer Feedback Activity Students
More informationBuilding Concepts: Building Expressions
Lesson Overview Algebraic Focus: What does it mean to say two expressions are equivalent? In this lesson students view expressions as objects in their own right and interpret the form and structure of
More informationEn light ening Geometry
En light ening Geometry for Middle School Students by Julie LaConte Many science topics can naturally be integrated with a variety of mathematical concepts, including the study of light and optics. Working
More informationTransformations: Translating Functions
Math Objectives Students will vertically translate a function by adding a constant and write the appropriate symbolic representation for the translated function. Students will horizontally translate a
More informationOne-sided Limits and Continuity with Piece-Wise Defined Functions
Grade level: 9-12 Subject: math One-sided Limits and Continuity with Piece-Wise Defined Functions by Matt Bohon Activity overview Piece-wise defined functions are used extensively in PreCalculus and Calculus.
More informationShape & Space Part C: Transformations
Name: Homeroom: Shape & Space Part C: Transformations Student Learning Expectations Outcomes: I can describe and analyze position and motion of objects and shapes by Checking for Understanding identifying
More informationGraphical Analysis TEACHER NOTES SCIENCE NSPIRED. Science Objectives. Vocabulary. About the Lesson. TI-Nspire Navigator. Activity Materials
Science Objectives Students will interpret a graph. Students will linearize data to find the mathematical relationship between two variables. Vocabulary data directly proportional inverse inversely proportional
More informationSet the Sails! Purpose: Overview. TExES Mathematics 4-8 Competencies. TEKS Mathematics Objectives.
Set the Sails! Purpose: Participants will use graphing technology to investigate reflections, translations, rotations, and sequences of reflections and translations in the coordinate plane. They will give
More information2D Shapes, Scaling, and Tessellations
2D Shapes, Scaling, and Tessellations Name(s): Sarah Hunter Title of lesson: How do different shapes fit together? Date of lesson: Week 2, Day 5 Length of lesson: 50 Minutes (1 Class Period) Description
More informationTImath.com. Geometry. Special Segments in Triangles
Special Segments in Triangles ID: 8672 Time required 90 minutes Activity Overview In this activity, students explore medians, altitudes, angle bisectors, and perpendicular bisectors of triangles. They
More informationGRADE 5 UNIT 5 SHAPE AND COORDINATE GEOMETRY Established Goals: Standards
GRADE 5 UNIT 5 SHAPE AND COORDINATE GEOMETRY Established Goals: Standards 5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place
More informationFixed Perimeter Rectangles Geometry Creating a Document
Activity Overview: This activity provides the steps to create a TI-Nspire document that will be used to investigate side length and area in a rectangle with a fixed perimeter. An algebraic approach is
More informationAddition and Subtraction of. Rational Numbers Part 2. Name. Class. Student Activity. Open the TI-Nspire document Add_Sub_Rational_Numbers_Part2.tns.
Open the TI-Nspire document Add_Sub_Rational_Numbers_Part.tns. In this activity, you will represent addition and subtraction of positive and negative mixed numbers on a horizontal number line. Move to
More informationTriangle Inequality Theorem
Math Objectives Students will identify the conditions necessary to build triangles given the lengths of 3 segments. Students will use the Triangle Inequality Theorem to determine whether a triangle can
More informationCoordinate Graphing Quadrants and Reading Ordered Pairs. TeacherTwins 2015
Coordinate Graphing Quadrants and Reading Ordered Pairs TeacherTwins 2015 Warm Up Graph the integers on a number line. 1. 2. 3. 4. 5. -5, - 2, 5, 2 0, -3, 7, -2-4, 1, -6, 8-1, 4, -7, 0 6, -8, 5, -4 Warm
More informationTHANK YOU FOR YOUR PURCHASE!
THANK YOU FOR YOUR PURCHASE! The resources included in this purchase were designed and created by me. I hope that you find this resource helpful in your classroom. Please feel free to contact me with any
More informationGeometry and Spatial Reasoning
Geometry and Spatial Reasoning Activity: TEKS: Overview: Materials: Exploring Reflections (7.7) Geometry and spatial reasoning. The student uses coordinate geometry to describe location on a plane. The
More informationExploring Vertical Asymptotes
Math Objectives Students will be able to: Students will determine the domain of rational functions. Students will use algebraic concepts to determine the vertical asymptotes of a rational function. Students
More informationSection A Solids Grade E
Name: Teacher Assessment Section A Solids Grade E 1. Write down the name of each of these 3-D shapes, (i) (ii) (iii) Answer (i)... (ii)... (iii)... (Total 3 marks) 2. (a) On the isometric grid complete
More informationSlammin Sammy. Name Date. Finger. Shoulder. Back. Toe. Heel
Name Date Slammin Sammy Finger Shoulder Back Toe Heel (0, 0) Fist 1. Give the coordinates of Sammy s six body parts: Finger (, ) Shoulder (, ) Back (, ) Toe (, ) Heel (, ) Fist (, ) Classroom Strategies
More informationAmarillo ISD Math Curriculum
Amarillo Independent School District follows the Texas Essential Knowledge and Skills (TEKS). All of AISD curriculum and documents and resources are aligned to the TEKS. The State of Texas State Board
More informationHandout 1: Viewing an Animation
Handout 1: Viewing an Animation Answer the following questions about the animation your teacher shows in class. 1. Choose one character to focus on. Describe this character s range of motion and emotions,
More informationConnecticut Curriculum Design Unit Planning Organizer Grade 8 Mathematics Congruence and Similarity
Pacing: 3 weeks Mathematical Practices Mathematical Practices #1 and #3 describe a classroom environment that encourages thinking mathematically and are critical for quality teaching and learning. Practices
More informationTransformations: Rotations /G. TEACHER NOTES MATH NSPIRED. Math Objectives. Vocabulary. About the Lesson
Math Objectives Students will identify a rotation as an isometry, also called a congruence transformation. Students will identify which properties (side length, angle measure, perimeter, area, and orientation)
More informationIsometries: Teacher Notes
Isometries: Teacher Notes Henri Picciotto Acknowledgments Vinci Daro, Ann Shannon, and Celia Stevenson helped me with the original version of this document. Zalman Usiskin offered valuable feedback, some
More informationDescribing Line Reflections
2.1 Describing Line Reflections Goals Use the properties of reflections to perform line reflections Find a line of reflection given a figure and its image Find the reflection image of a figure given a
More informationTRANSFORMATIONS AND CONGRUENCE
21 TRANSFORMATIONS AND CONGRUENCE INSTRUCTIONAL ACTIVITY Lesson 3 LEARNING GOAL Students will discover the impact of translations and reflections on the coordinates of a figure, then generalize the rule
More informationGrade 6 Mathematics Item Specifications Florida Standards Assessments
Content Standard MAFS.6.G Geometry MAFS.6.G.1 Solve real-world and mathematical problems involving area, surface area, and volume. Assessment Limits Calculator s Context A shape is shown. MAFS.6.G.1.1
More informationCCM6+/7+ - Unit 13 - Page 1 UNIT 13. Transformations CCM6+/7+ Name: Math Teacher: Projected Test Date:
CCM6+/7+ - Unit 13 - Page 1 UNIT 13 Transformations CCM6+/7+ Name: Math Teacher: Projected Test Date: Main Idea Pages Unit 9 Vocabulary 2 Translations 3 10 Rotations 11 17 Reflections 18 22 Transformations
More informationR(-14, 4) R'(-10, -2) S(-10, 7) S'(-6, 1) T(-5, 4) T'(-1, -2)
1 Transformations Formative Assessment #1 - Translation Assessment Cluster & Content Standards What content standards can be addressed by this formative assessment? 8.G.3 Describe the effect of dilations
More informationThe Marching Cougars Lesson 9-1 Transformations
The Marching Cougars Lesson 9-1 Learning Targets: Perform transformations on and off the coordinate plane. Identif characteristics of transformations that are rigid motions and characteristics of transformations
More informationStudents will be finding the equation of the perpendicular bisector of a side of a triangle. TI-Nspire Software
Math Objectives Students will discover how to encrypt and decrypt a message. Students will learn what a Caesar cipher is and use it to solve a riddle. Students will find equations of lines given two points
More informationStudents are not expected to work formally with properties of dilations until high school.
Domain: Geometry (G) Cluster: Understand congruence and similarity using physical models, transparencies, or geometry software. Standard: 8.G.1. Verify experimentally the properties of rotations, reflections,
More informationQuadrilaterals & Transformations Study Guide
s & Transformations Study Guide What do I need to know for the upcoming Summative Assessment? s Classifications and Properties of: o o Trapezoid o Kite o Parallelogram o Rhombus o Rectangle o Square The
More informationGEOMETRY. TI-Nspire Help and Hints. 1 Open a Graphs and Geometry page. (Press c 2 ).
GEOMETRY TI-Nspire Help and Hints 1 Open a Graphs and Geometry page. (Press c 2 ). 2 You may need to save a current document you have been working on. Save or press e to move the cursor to No and press.
More informationMaterials Required: (1) Pre-cut polygons in coloured paper (2) Computer for demonstration and the computer files in 2D_Sym
easures, hape & pace Exemplar 9: Reflectional and Rotational Symmetry in a Plane Objective: To explore the relation between reflectional symmetry and rotational symmetry of 2-D figures Key Stage: 3 Learning
More informationThis lesson is designed to improve students
NATIONAL MATH + SCIENCE INITIATIVE Mathematics g x 8 6 4 2 0 8 6 4 2 y h x k x f x r x 8 6 4 2 0 8 6 4 2 2 2 4 6 8 0 2 4 6 8 4 6 8 0 2 4 6 8 LEVEL Algebra or Math in a unit on function transformations
More informationTranslations, Reflections, and Rotations
* Translations, Reflections, and Rotations Vocabulary Transformation- changes the position or orientation of a figure. Image- the resulting figure after a transformation. Preimage- the original figure.
More informationThis lesson gives students practice in graphing
NATIONAL MATH + SCIENCE INITIATIVE 9 Mathematics Solving Systems of Linear Equations 7 5 3 1 1 3 5 7 LEVEL Grade, Algebra 1, or Math 1 in a unit on solving systems of equations MODULE/CONNECTION TO AP*
More informationClassifying 3D Shapes
Classifying 3D Shapes Middle School Texas Essential Knowledge and Skills (TEKS) Math 5.4B Algebraic reasoning The student applies mathematical process standards to develop concepts of expressions and equations.
More informationThis task enables us to evaluate the advantage gained by positioning oneself as close as possible to the posts before scoring the try.
By Philippe Fortin Grade level: secondary (Years 11-12) Subject: mathematics Time required: 90 minutes Activity overview What is the optimal position for a rugby player attempting a conversion? He can
More informationPosition and Piecewise Velocity
Math Objectives Students will modify a piecewise linear graph of velocity to model a scenario. Students will make connections between a graph of an object s velocity and a corresponding graph of an object
More informationGrade 5: PA Academic Eligible Content and PA Common Core Crosswalk
Grade 5: PA Academic Eligible and PA Common Core Crosswalk Alignment of Eligible : More than Just The crosswalk below is designed to show the alignment between the PA Academic Standard Eligible and the
More informationTHIS IS AN EXAMPLE. READ IT CLOSELY TO LEARN HOW TO GRAPH POLYGONS (closed sided figures) ON THE COORDINATE PLANE AND THEN FIND THE AREA.
THIS IS AN EXAMPLE. READ IT CLOSELY TO LEARN HOW TO GRAPH POLYGONS (closed sided figures) ON THE COORDINATE PLANE AND THEN FIND THE AREA. NOW TRY THE PROBLEMS BELOW ON YOUR OWN. DO THESE ON A SEPARATE
More information2-1 Transformations and Rigid Motions. ENGAGE 1 ~ Introducing Transformations REFLECT
2-1 Transformations and Rigid Motions Essential question: How do you identify transformations that are rigid motions? ENGAGE 1 ~ Introducing Transformations A transformation is a function that changes
More informationLines and Circles Guided Practice: Teacher Instructions
Lines and Circles Guided Practice: Teacher Instructions Overview 1. Together, as a class, go through the Lines and Circles Guided Practice (exercises 1-22) described below. 2. Then have student teams conduct
More informationAmarillo ISD Math Curriculum
Amarillo Independent School District follows the Texas Essential Knowledge and Skills (TEKS). All of AISD curriculum and documents and resources are aligned to the TEKS. The State of Texas State Board
More informationGrade 5 Math Program. ARITHMETIC FACTS (memory or quick strategy) - Addition and Subtraction - Multiplication (up 100) - Division
Grade 5 Math Program MAJOR STRANDS: The strands and sub-strands, including the general learning outcome for each, follow. Number Concepts and Operations n Develop number sense. Patterns and Relations n
More informationAngle Bisectors in a Triangle- Teacher
Angle Bisectors in a Triangle- Teacher Concepts Relationship between an angle bisector and the arms of the angle Applying the Angle Bisector Theorem and its converse Materials TI-Nspire Math and Science
More informationAugust 3 - August 31
Mathematics Georgia Standards of Excellence Geometry Parent Guide Unit 1 A All About Our Unit of Study Transformations in the Coordinate Plane August 3 - August 31 In this unit students will perform transformations
More informationMath 6 Long Range Plans Bill Willis. Strand: NUMBER Develop number sense. Textbook: Math Makes Sense 6
Math 6 Long Range Plans 2012-2013 Bill Willis Rationale: Based upon the mathematics program of studies, our learning environment will value and respect the diversity of students experiences and ways of
More informationGeometry Unit 1: Transformations in the Coordinate Plane. Guided Notes
Geometry Unit 1: Transformations in the Coordinate Plane Guided Notes Standard: MGSE9 12.G.CO.1 Know precise definitions Essential Question: What are the undefined terms essential to any study of geometry?
More informationTRANSFORMATIONS AND CONGRUENCE
1 TRANSFORMATIONS AND CONGRUENCE LEARNING MAP INFORMATION STANDARDS 8.G.1 Verify experimentally the s, s, and s: 8.G.1.a Lines are taken to lines, and line segments to line segments of the same length.
More informationand numbers and no spaces. Press after typing the name. You are now in the Program Editor. Each line of code begins with the colon character ( : ).
NEW! Calculator Coding Explore the basics of coding using TI Basic, and create your own program. Created by Texas Instruments for their TI Codes curriculum, this activity is a great starting point for
More informationKey Ideas/ Vocabulary
Name: Date: Unit 1 oordinates and Design 1.1 The artesian Plane Key Ideas/ Vocabulary P. 9 5 11, 13-15, 18 1.2 reate Designs P. 15 3 6, 9-12 Math 7 hapter 1 1 P a g e 1.3 Transformations P. 24 3-21, 24
More informationComparing Linear and Exponential Expressions ALGEBRA NSPIRED: EXPONENTIAL FUNCTIONS
Math Objectives Use a table and a graph to compare the changes in linear and exponential expressions as x is increased Recognize that as x increases a linear expression increases at a constant rate (additively)
More informationAlgebra/Geometry Institute Summer 2007
Algebra/Geometry Institute Summer 2007 Faculty Name: Bernard Berryhill School: North Delta Alternative School Sumner, MS Grade Level: 7 th 1. Teaching objective: The student will apply the principles of
More informationBig Ideas. Objects can be transferred in an infinite number of ways. Transformations can be described and analyzed mathematically.
Big Ideas Numbers, measures, expressions, equations, and inequalities can represent mathematical situations and structures in many equivalent forms. Objects can be transferred in an infinite number of
More informationProperties of Rotations
Properties of Rotations Student Probe Find the image of a 50 o counterclockwise rotation about point P. A P B Lesson Description The lesson examines rotations as the transformation obtained by reflecting
More information6th Grade ~ Conceptual Foundations for Unit of Study 8 Geometry DRAFT 6/30/11 Geometry (Spatial Sense & Reasoning) 1. Shapes, Solids and Properties
Geometry is the only CCSSM Domain that consistently appears in every grade level K-12. At all grade levels, geometry content goals can be summarized into four main geometric ideas: 1. Shapes, Solids and
More informationAn Overview of Mathematics 6
An Overview of Mathematics 6 Number (N) read, write, represent, and describe numbers greater than one million and less than one-thousandth using symbols, expressions, expanded notation, decimal notation,
More informationCongruence: Rigid Motions of Triangles
Congruence: Rigid Motions of Triangles Mathematics, Grade 10 Standards (Alignment) Content Standards 10.G-CO.B Understand congruence in terms of rigid motions. 10.G-CO.B.6 Use geometric descriptions of
More informationUnit 1 Algebraic Functions and Graphs
Algebra 2 Unit 1 Algebraic Functions and Graphs Name: Unit 1 Day 1: Function Notation Today we are: Using Function Notation We are successful when: We can Use function notation to evaluate a function This
More informationProperties of Rotations
Properties of Rotations Student Probe Find the image of a 50 counterclockwise rotation about point P. Lesson Description The lesson examines rotations as the transformation obtained by reflecting an object
More informationMaximizing the Area of a Garden
Math Objectives Students will determine the relationship between the width and length of a garden with a rectangular shape and a fixed amount of fencing. The garden is attached to a barn, and exactly three
More information2. In which of the following diagrams is one shape the reflection of the other in the mirror line shown? Make a correct diagram for those that are
2. In which of the following diagrams is one shape the reflection of the other in the mirror line shown? Make a correct diagram for those that are not correct. 70 Worksheet 4 1. Use a coordinate grid to
More informationTEACHER NOTES MATH NSPIRED
Math Objectives Students will identify the effects of changing the sides and angles on the sine, cosine, and tangent ratios. Students will apply the properties of similar triangles to develop the definitions
More information